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1.     A hive of bees contains 25 bees when it is first discovered. After 3 days, there are 36 bees. It is determined that the population of bees increases exponentially.

Applying the Growth of Cells equation, how many bees are will there be after 45 days? Express your answer as an exact value and rounded to the nearest whole number.

 Dec 4, 2020
 #1
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36 = 25 e k 3       soooo  k = .121548

 

 

25 e .121548 (45) =5934 bees at 45 days

 Dec 4, 2020
 #2
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36 / 25 ==1.44^(1/3)==1.1292432 daily growth rate

 

Ln(1.1292432)  *  45 days ==5.46965

 

25  x  e^5.46965 ==25  x  237.377 ==5,934 - Bees at the end of 45 days.

 Dec 4, 2020

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